Pekeris approximation
WebThe spin symmetric solution of the relativistic wave equation is obtained by considering the Pekeris-type approximation scheme to deal with the centrifugal term, and in order to solve... WebNov 22, 2013 · Pekeris-type approximation for the -wave in a Pöschl-Teller potential Stoian I. Zlatev An approximation for the centrifugal term which transforms the radial equation for …
Pekeris approximation
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Web【摘 要】基于薛定谔方程离心项的Pekeris型近似,研究了具有变形Woods-Saxon势的薛定谔方程的散射态问题,得到了归一化的散射态波函数和相应的散射相移,同时得到了散射振幅解析极点相应的束缚态能级.%Within a Pekeris-type approximation to the … Web3.1 Overview of the Pekeris Approximation The approximation is based on the expansion of the centrifugal barrier in a series of exponentials depending on the internuclear distance, …
WebOct 20, 2024 · We generalize the Pekeris approximation for the centrifugal term potential, l (l + 1) r 2, and use this to obtain the solutions of the radial Schrödinger equation for the … WebThe equivalence of the Pekeris approximation to centrifugal term is shown in Figure 1. In this figure the blue curve shows the Pekeris approximation and the dotted curve indicates the centrifugal term. Figure 1 The equivalence of the Pekeris approximation to the centrifugal term.
WebMar 7, 2024 · The Pekeris-like approximation to the centrifugal term is given as The graph of Pekeris approximation to centrifugal term is given in Figure 1. Figure 1 The graph of Pekeris approximation for various values of . 2. Parametric Nikiforov-Uvarov (NU) Method Weban approximation has to be made. Using improved Pekeris approximation [15,11] that is presented in the previous section the Eq. (15) is as following: 2 l 2 22l)21 0 r ªº¬¼c (16) Where the parameters χʹ 2, χʹ 1 and χʹ 0 are considered as follows: > @ 2 2 1 2 0 2 2 E 2 ab 2 b1 P c P Dc P c (17)
WebUsing the Pekeris approximation [37] in the three-dimensional case for the Morse potential non-minimal coupling, we obtain the eigenvalues and the eigenfunctions, and then we …
WebFeb 22, 2024 · Numerical solutions, with and without the Pekeris approximation, have been used to calculate the energy spectrum [4–7]. The Pekeris approximation [4] is based on the expansion of the centrifugal part in exponential terms with exponents that depend on an inter-nuclear distance parameter. number too largeWebAug 1, 2004 · This approximation is based on the expansion of the centrifugal barrier in a series of exponentials depending on the internuclear distance, keeping terms up to second order, so that the... number to number meaningWebJul 2, 2024 · In this paper, we demonstrated that the multiple turning point problems within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method can be reduced to two turning point one for a nonsymmetric potential function by using an appropriate Pekeris-type approximation scheme. nirvana nevermind back to black reviewWebDec 17, 2011 · The approximate analytical bound-state solutions of the Schrödinger equation for the Wei Hua oscillator are carried out in N-dimensional space by taking … number toolsWebAug 23, 2024 · In this work we attempt to apply this quantum method (SUSY-QM) to study the energy dependent rotating Morse potential within the Pekeris approximation and then compare all the obtained eigenvalues with the exact numerical results. The potential behavior is also studied and compared with the RKR data in the case of two diatomic … nirvana nevermind back to black reviewsWebSep 29, 2024 · Based on the target scattering model and the normal mode theory in a shallow water waveguide, a mathematical model of the acoustic intensity under the coupling condition of the target and the environment was deduced, and the interference striations in the monostatic and bistatic configuration were obtained by simulations. Further, a field … nirvana nevermind album release yeWebsupersymmetry quantum mechanics (SUSYQM) method and Pekeris approximation for Woods-Saxon potential. The SUSYQM method used to get the energy eigenvalues and radial wave functions for ℓ= 0 state only, therefore, we need Pekeris approximation to solve the centrifugal potential ℓ≠0 states [9–11]. nirvana nevermind lyrics stay away